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13913235 = 335714723
BaseRepresentation
bin110101000100…
…110010010011
3222011212101000
4311010302103
512030210420
61214113043
7226155240
oct65046223
928155330
1013913235
117943246
1247ab783
132b61aab
141bc25c7
15134c690
hexd44c93

13913235 has 32 divisors (see below), whose sum is σ = 28270080. Its totient is φ = 6359904.

The previous prime is 13913233. The next prime is 13913257. The reversal of 13913235 is 53231931.

It is a happy number.

13913235 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13913235 - 21 = 13913233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13913199 and 13913208.

It is not an unprimeable number, because it can be changed into a prime (13913233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6417 + ... + 8306.

It is an arithmetic number, because the mean of its divisors is an integer number (883440).

Almost surely, 213913235 is an apocalyptic number.

13913235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13913235 is an abundant number, since it is smaller than the sum of its proper divisors (14356845).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13913235 is a wasteful number, since it uses less digits than its factorization.

13913235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14744 (or 14738 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 13913235 is about 3730.0449058959. The cubic root of 13913235 is about 240.5152990701.

The spelling of 13913235 in words is "thirteen million, nine hundred thirteen thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 14723 44169 73615 103061 132507 220845 309183 397521 515305 662535 927549 1545915 1987605 2782647 4637745 13913235